145319508 has 60 divisors (see below), whose sum is σ = 381200820. Its totient is φ = 48273408.

The previous prime is 145319491. The next prime is 145319513. The reversal of 145319508 is 805913541.

145319508 is a `hidden beast` number, since 145 + 3 + 1 + 9 + 508 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74960964 + 70358544 = 8658^2 + 8388^2 .

It is a super-2 number, since 2×145319508² = 42235518810724128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125460 + ... + 126612.

It is an arithmetic number, because the mean of its divisors is an integer number (6353347).

Almost surely, 2^145319508 is an apocalyptic number.

145319508 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145319508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190600410).

145319508 is an abundant number, since it is smaller than the sum of its proper divisors (235881312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145319508 is a wasteful number, since it uses less digits than its factorization.

145319508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 145319508 is about 12054.8541260357. The cubic root of 145319508 is about 525.7443808020.

The spelling of 145319508 in words is "one hundred forty-five million, three hundred nineteen thousand, five hundred eight".